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This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the…

Optimization and Control · Mathematics 2011-10-04 Debasish Chatterjee , Daniel Liberzon

This paper presents a discrete-time passivity-based analysis of the gradient descent method for a class of functions with sector-bounded gradients. Using a loop transformation, it is shown that the gradient descent method can be interpreted…

Optimization and Control · Mathematics 2024-11-26 Sepehr Moalemi , James Richard Forbes

Global sensitivity analysis (GSA) aims to detect influential input factors that lead a model to arrive at a certain decision and is a significant approach for mitigating the computational burden of processing high dimensional data. In this…

Machine Learning · Computer Science 2024-06-26 Zahra Sadeghi , Stan Matwin

In this paper, the power response of power electronic loads in case of voltage drops are measured and their dynamics are analysed. Based on this, dynamic simulation models are derived which can be used for voltage stability investigations.…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Sebastian Liemann , Christian Rehtanz

There exist many methods for sensitivity analysis readily available to the practitioner. While each seeks to help the modeler answer the same general question -- How do sources of uncertainty or changes in the model inputs relate to…

Methodology · Statistics 2025-06-16 Devin Francom , Abigael Nachtsheim

This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part…

Systems and Control · Computer Science 2016-11-18 Junlin Xiong , James Lam , Zhan Shu , Xuerong Mao

This paper presents a critical review of methods commonly employed in the literature for small signal stability analysis of inverter based resources (IBRs). It discusses the intended purposes of these methods and outlines both their proper…

Systems and Control · Electrical Eng. & Systems 2025-10-24 Anton A. Stoorvogel , Saeed Lotfifard , Ali Saberi

This paper presents a novel approach for stability and transparency analysis for bilateral teleoperation in the presence of data loss in communication media. A new model for data loss is proposed based on a set of periodic continuous pulses…

Systems and Control · Computer Science 2017-11-13 A. Bakhshi , H. A. Talebi , A. A. Suratgar , M. Abdeetedal

Prior research has shown that autocorrelation and variance in voltage measurements tend to increase as power systems approach instability. This paper seeks to identify the conditions under which these statistical indicators provide reliable…

Physics and Society · Physics 2015-04-23 Goodarz Ghanavati , Paul D. H. Hines , Taras I. Lakoba

We provide a novel method for sensitivity analysis of parametric robust Markov chains. These models incorporate parameters and sets of probability distributions to alleviate the often unrealistic assumption that precise probabilities are…

Machine Learning · Computer Science 2023-05-03 Thom Badings , Sebastian Junges , Ahmadreza Marandi , Ufuk Topcu , Nils Jansen

This paper proposes a hierarchical adaptive sampling scheme for passivity characterization of large-scale linear lumped macromodels. Here, large-scale is intended both in terms of dynamic order and especially number of input/output ports.…

Computational Engineering, Finance, and Science · Computer Science 2020-11-06 Marco De Stefano , Stefano Grivet-Talocia , Torben Wendt , Cheng Yang , Christian Schuster

Passivity theory has recently contributed to developing decentralized control schemes for large-scale systems. Many decentralized passivity-based control schemes are designed in continuous-time. It is well-known, however, that the passivity…

Systems and Control · Electrical Eng. & Systems 2021-07-16 Ahmed Aboudonia , Andrea Martinelli , John Lygeros

This paper proposes a novel methodology for probabilistic dynamic security assessment and enhancement of power systems that considers load and generation variability, N-2 contingencies, and uncertain cascade propagation caused by uncertain…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Frédéric Sabot , Pierre-Etienne Labeau , Pierre Henneaux

Simulating potential cascading failures can be useful for avoiding or mitigating such events. Currently, existing steady-state analysis tools are ill-suited for simulating cascading outages as they do not model frequency dependencies, they…

Signal Processing · Electrical Eng. & Systems 2019-11-25 Amritanshu Pandey , Aayushya Agarwal , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Larry Pileggi

Unprecedented dynamic phenomena may appear in power grids due to higher and higher penetration of inverter-based resources (IBR), e.g., wind and solar photovoltaic (PV). A major challenge in dynamic modeling and analysis is that unlike…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Lingling Fan , Zhixin Miao

Sensitivity analysis is a classical and fundamental tool to evaluate the role of a given parameter in a given system characteristic. Because the phase response curve is a fundamental input--output characteristic of oscillators, we developed…

Dynamical Systems · Mathematics 2024-05-03 Pierre Sacré , Rodolphe Sepulchre

In a power grid with growing penetrations of renewable energy sources, inverters play a larger role in the dynamic interactions among network components. However, much is yet to be studied regarding inverter-dominated grid stability. This…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Ruth Kravis , Gabriel Colon-Reyes , Duncan Callaway

Operating modern power grids with stability guarantees is admittedly imperative. Classic stability methods are not well-suited for these dynamic systems as they involve centralized gathering of information and computation of the system's…

Systems and Control · Electrical Eng. & Systems 2020-03-18 Stefanos Baros , Andrey Bernstein , Nikos Hatziargyriou

This paper presents a data-driven methodology to estimate the storage function of a passive system. The methodology consists in parametrizing the storage function with a dictionary then running a linear program. Results on a benchmark are…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Alexandre Sanfelici Bazanella

Shared Control methods often use impedance control to track target poses in a robotic manipulator. The guidance behavior of such controllers is shaped by the used stiffness gains, which can be varying over time to achieve an adaptive…